First off -- she is not too powerful of an opponent. As an NPC her CR will be her level -1 -- that's a CR 6, which is well within the tolerance of the PCs and they have action economy on her.
Basically put she's going to get spanked -- hard.
So for bloodline I suggest:
Elemental(air) -- this will get you the boom you need. Also many spells are fire element, so you can switch them to electricity for more choice in damage types.
For feats:
Toughness, Arcane Armor Training, Weapon Focus(longsword), Arcane Strike, Combat Casting
Favored Class: A mixture of both extra HP and extra spells -- lets call it 3 extra HP and 2 first level spells and a second level spell (as per the APG).
Spells:
1st level:
Burning Hands, Color Spray, Vanish, Flare Burst, Grease, Magic Missile, Burning Disarm
2nd level:
Scorching Ray, Glitterdust, Pyrotechnics, Flaming Sphere
3rd level:
Fireball
Equipment: You want the leather you said, so I suggest a mithral buckler +1 to go with it (this will help her AC which is going to be lagging without increasing her ASF).
If you want to actually be kind of mean and present a challenge then grab some robe of arcane heritage from the APG so that she can use the elemental burst ability once per day.
Elemental fire is the best bloodline for Boom-Boom, then load her up with every fire spell you can.
As for weakening her, skills is a good place to start. Amping up her skill levels in Appraise, Bluff, Intimidate, Knowledge: Rock music, and Slight of Hand, while only putting a few in Spellcraft and Perception would be appropriate for the character.
Her spell selection is another weakness you can exploit. Boom-Boom is a very specialized blaster, giving the PC's some immunity to fire would make it more of a hand to hand fight.
Not that Boom-Boom is actually bad at hand to hand, but it would make it a fairer fight.
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20 Buy - Not optimal. Looked up that character and tried to match something close to that. I didn't do equipment at all. Favored class went to HP. It could go to alternate human one of extra spells.
Human Barbarian 1 / Starsoul Bloodline Sorcerer 6
STR: 14 (5)
DEX: 14 (5)
CON: 12 (2)
INT: 7 (-4)
WIS: 12 (2)
CHA: 19 (10) (+1 at 4)
Feats:
(H)Toughness
(1) Improved Initiative
(3)Arcane Strike
(5)Arcane Armor Training
(7)Improved Counterspell
Mvmt: 40 ft
BAB:+4
HP: 50
Init:+6
Armor: Leather (AC 14 = 10+ 2(dex)+2(armor)
Weapon: Longword (+6, ad8+2 )
Saves: Fort= 6, Ref=4 , Will=6
Spells:
0(7): Detect Magic, Read Magic, Light, Spark, Mage Hand, Resistance, Flare
1(4):Unseen Servant (Bonus), Magic Missile, Cause Fear, True Strike, Expeditious Retreat
2(2):Glitterdust (Bonus), Scorching Ray, Shatter
3(1): Fireball
Rage: 6 rounds
Bloodline Powers
Minute Meteors (Sp): you can summon a rain of tiny meteorites as a standard action to fall in a 5-foot column, 30 feet high, with a range of 30 feet. The meteors inflict 1d4+3 points of fire damage. A Reflex save negates this damage. The save DC 17. You may use this ability 7 times per day
Voidwalker (Ex): you gain low-light vision and resist cold and fire 5.
Reminds me of Tazendra (sp?) from the Phoenix Knights. Just give her a big giant greatsword, and barbarian 1/sorcerer 6 sounds about right.
Also, give her a middle-aged commoner lackey armed with a barstool.
Since this is an NPC with PC class levels, use the "Heroic NPC" ability scores: 15, 14, 13, 12, 10, 8. As a low-Int fighter 1/sorcerer 6, you can go with: 16 Str (14, +2 race), 13 Dex, 12 Con, 8 Int, 10 Wis, 16 Cha (15, +1 advancement).
For bloodline, either Draconic or Elemental are OK for fire-based spells. If you want to look at cold or electricity, then the APG bloodlines Boreal and Stormborn can be good, as well. Also, since you aren't worrying too much about optimizing, taking Exotic Weapon Proficiency (Bastard Sword) is an option for a slight damage increase over a longsword (coupled with enlarge person and lead blades, however, it can be more than a just slight damage increase).
Boreal version (not including Favored Class bonuses):
Skills- Intimidate 6 (+12), Knowledge (Arcana) 3 (+5), Ride 2 (+6), Spellcraft 3 (+5)
Feats- Arcane Armor Training, Elemental Spell (Cold), Eschew Materials, Exotic Weapon Proficiency (Bastard Sword), Power Attack, Toughness, Weapon Focus (Bastard Sword)
Bloodline Abilities- Class Skill (Survival); Bonus Spells (enlarge person, rage); Arcana (+1 save DC on any spell cast with the cold descriptor); Cold Steel (touch a weapon to give it the frost ability for 3 rounds, 6/day), Icewalker (Cold Resistance 5, move across ice and snow without penalty or leaving tracks)
Spells- detect magic, light, mage hand, message, prestidigitation, ray of frost, touch of fatigue; burning hands (used with Elemental Spell to take advantage of the +1 DC Bloodline Arcana bonus), enlarge person, grease (re-flavored as a coating of ice), hydraulic push (reflavored as a blast of ice/snow), shield (for the extra AC in melee); false life, rage, scorching ray (used with Elemental Spell); hydraulic torrent (re-flavored as a blast of ice/snow)
This version emphasizes melee combat a bit more than spellcasting and battlefield control a bit more than blasting; a candidate for eldritch knight if a recurring NPC. Going by table 14-9: NPC Gear, the character should have 6,000 gp worth of equipment; 2,700 gp for weapons, 2,000 gp for protection, 500 gp for permanent magic, 600 gp for limited use items, and 200 gp for non-magical gear. A +1 bastard sword (2,335 gp), a composite short bow (+3 Str; 300 gp) with a selection of normal (20 for 1 gp), alchemical silver (10 for 20 gp, 5 sp), and cold iron arrows (10 for 1 gp), a warhammer (12 gp), and some daggers (one alchemical silver for 22 gp and one cold iron for 4 gp) will cover weapons; total 2695 gp, 5 sp. A mithral chain shirt (1,100 gp) and a mithral buckler (1,015 gp) goes slightly over the recommended 2,000 gp to allow casting without chance of spell failure, but not much; total 2,115 gp (note +1 leather costs 60 gp more for 1 less AC and +1 studded leather costs 75 gp more with a 5% chance of spell failure using Arcane Armor Training). A bracelet of lead blades (custom wondrous item; lead blades (CL 1) on command 1/day) for 360 gp. 829 gp, 5 sp worth of potions, scrolls, partially used wands, and/or normal equipment.